Abstract
A rigid conformal (RC) lap can smooth mid-spatial-frequency (MSF) errors, which are naturally smaller than the tool size, while still removing large-scale errors in a short time. However, the RC-lap smoothing efficiency performance is poorer than expected, and existing smoothing models cannot explicitly specify the methods to improve this efficiency. We presented an explicit time-dependent smoothing evaluation model that contained specific smoothing parameters directly derived from the parametric smoothing model and the Preston equation. Based on the time-dependent model, we proposed a strategy to improve the RC-lap smoothing efficiency, which incorporated the theoretical model, tool optimization, and efficiency limit determination. Two sets of smoothing experiments were performed to demonstrate the smoothing efficiency achieved using the time-dependent smoothing model. A high, theory-like tool influence function and a limiting tool speed of 300 RPM were o
Highlights
Large aspheric optical surfaces can be precisely manufactured using computer-controlled optical surfacing (CCOS)
We present a time-dependent smoothing model containing specific factors directly related to the smoothing efficiency, which is derived from the parametric smoothing model and Preston equation
(2) Experimental results Because some errors were induced during the smoothing processes, a band-pass fast Fourier transform (FFT) filter was applied to separate the MSF error information from the measured map
Summary
Large aspheric optical surfaces can be precisely manufactured using computer-controlled optical surfacing (CCOS). This new model discloses the exponential decay of the MSF errors with time during smoothing. In order to derive an explicit equation for k improvement, we present a time-dependent smoothing model, which contains specific factors related to the smoothing rate.
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